Mechanical Vibrations' Fundamentals

This course of mechanical vibrations will cover the basic and fundamental nature and concepts on the vibration of mechanical systems including: review of systems for mechanical vibrations, existence of vibrations in daily life and industry, causes of vibrations in machines and equipment, why the control of vibration is necessary, catastrophe of harsh and abnormal vibrations, why vibration control is necessary, classification of vibratory systems, type of vibration excitation, free/natural vibrations, resonance, damped and undamped vibrations, free undamped vibrations, free damped vibrations, forced undamped vibrations, forced damped vibrations, vibration amplification and its control through damping, damped natural frequency, Newton's method for equation of motion, energy method for equation of motion, frequency of excitation, torsional systems, modeling of vibratory systems, lumped parameter modeling, linear vibrations, systems' response to free and  harmonic excitation, single and multiple degree of freedom systems, rotatory machines vibrations, modeling of rotating unbalance, base-excitation, vibration transmissiblity and isolation, vibration displacement, velocity and acceleration, fundamental frequency, natural frequencies and mode shapes, time and frequency response, simulations of systems response to interpret systems' behavior at frequency ratios below less than 1, equal to 1 and above 1. Critical frequencies for machine's operation, how to avoid critical frequencies during machines design and functioning.